Completeness and basis properties of sets of special functions J.R. Higgins. Cambridge tracts in mathematics and mathematical physics 72; Cambridge tracts in mathematics 72.

Higgins, John Rowland:

ISBN 10: 0521213762 / ISBN 13: 9780521213769

Published by Cambridge, Cambridge university press, 1977

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 33 HIG 9780521213769 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2509447

Bibliographic Details

• Title: Completeness and basis properties of sets of special functions J.R. Higgins. Cambridge tracts in mathematics and mathematical physics 72; Cambridge tracts in mathematics 72.
• Publisher: Cambridge, Cambridge university press
• Publication Date: 1977
• Language: English
• ISBN 10: 0521213762
• ISBN 13: 9780521213769
• Binding: Hardcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

This tract presents an exposition of methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces. The first chapter contains the theoretical background to the subject, largely in a general Hilbert space setting, and theorems in which the structure of Hilbert space is revealed by properties of its bases are dealt with. Later parts of the book deal with methods: for example, the Vitali criterion, together with its generalisations and applications, is discussed in some detail, and there is an introduction to the theory of stability of bases. The last chapter deals with complete sets as eigenfunctions of differential and a table of a wide variety of bases and complete sets of special functions. Dr Higgins' account will be useful to graduate students of mathematics and professional mathematicians, especially Banach spaces. The emphasis on methods of testing and their applications will also interest scientists and engineers engaged in fields such as the sampling theory of signals in electrical engineering and boundary value problems in mathematical physics.

Book Description

This tract presents an exposition of methods for testing sets of special functions for completeness and basis properties, mostly in L2 and L2 spaces. The emphasis on methods of testing and their applications will also interest scientists and engineers engaged in fields such as the sampling theory of signals in electrical engineering and boundary value problems in mathematical physics.